1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vfiekz [6]
2 years ago
9

Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expect

ed value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
Mathematics
2 answers:
lubasha [3.4K]2 years ago
8 0

We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"

For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have two events:

  • x₁ = she gets 9 points.
  • x₂ = she loses 2 points.

Let's find the probabilities of each one of these.

She gets 9 points if the sum of the two dice is equal to 8 or 12.

Each dice has 6 outcomes.

Then a combination of two dice has a total of 6*6 = 36 outcomes.

The outcomes that add to 8 or 12 are:

dice 1   dice 2  sum

2           6            8

3           5            8

4           4            8

5          6             8

6           2            8

6           6            12

So 6 out of the 36 outcomes, then the probability of this event is:

p₁ = 6/36 = 1/6

And the other event is for all the other outcomes, so the probability is just:

p₂ = 5/6

Then the expected value is:

EV = (+ 9 points)*(1/6) + (-2 points)*(5/6)  = -1/6 points.

So the correct option is negative one-sixth.

If you want to learn more about expected value, you can read:

brainly.com/question/22097128

posledela2 years ago
6 0

Answer:

-1/6

Step-by-step explanation:

You might be interested in
The table shows a propotional realationship between x and y
ss7ja [257]

Answer:

jvgdvfysvj fjrfhlgd ghcfh ghgdc

vurv gshgb gjjdvk jfdsuk0v

6 0
2 years ago
HELPPP!!! PLZ I AM GIVING 15 POINTS!!!!!!!!
Dmitry [639]

Answer:

all real numbers

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Consider two boxes, one containing one black and one white marble, the other, two black and one white marble. A box is selected
valina [46]

Answer:

\frac{7}{12}

Step-by-step explanation:

Probability refers to chance of happening of some event.

Conditional probability is the probability of an event A, given that another event B has already occurred.

B_1,B_2 denote the two boxes.

In box B_1:

No. of black balls = 1

No. of white balls = 1

In box B_2:

No. of black balls = 2

No. of white balls = 1

Let B, W denote black and white marble.

So, probability that either of the boxes B_1,B_2 is chosen is \frac{1}{2}

Probability that a black ball is chosen from box B_1 = \frac{1}{2}

Probability that a black ball is chosen from box B_2=\frac{2}{3}

To find:probability that the marble is black

Solution:

Probability that the marble is black = \frac{1}{2}(\frac{1}{2} )+\frac{1}{2}(\frac{2}{3})=\frac{1}{4}+\frac{1}{3}=\frac{7}{12}

6 0
3 years ago
1/2(4x+18)=5-(3x-9)
DanielleElmas [232]
X=-2 3/5
------------------------

6 0
3 years ago
Read 2 more answers
.Write the equation of the line that passes through (5,0) and is perpendicular to the line y = 5x + 55.​
Pavlova-9 [17]

Answer:

y=-1/5 x+c

0=-1/5(5)+c

0=-1+c

1=c

y=-1/5x+1

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • 2logx-log3=1. Help solve?
    7·1 answer
  • Add the expression (algebra)
    12·2 answers
  • Grissom draws different sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the l
    11·1 answer
  • If you have 3x + y = 9 write it in slope intercept form... what is the slope, y intercept?
    13·1 answer
  • Help pls :)) much appreciated
    12·1 answer
  • A mouse has made holes in opposite corners of a rectangular kitchen. The width of the
    12·1 answer
  • Hey everyone hru and i hope u all are doing good
    10·2 answers
  • 98. Of the students on the track team, 12 do the high jump. Of those students, 14 also do the long jump. What fraction of the st
    8·1 answer
  • Find the average rate of change of the function from x=1 to x=2.
    15·1 answer
  • 3% of a university's freshman class are majoring in Computer Science. If 231 students in the freshman class are Computer Science
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!